{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Option(Contingent claims):Gives the owner the right but not the obligation to buy or sell the underlying asset.\n",
    "\n",
    "Option premium:price\n",
    "\n",
    "Strike price(X):exercise price\n",
    "\n",
    "underlying asset:120\n",
    "exercise price(X):150"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "option value= intrinsic value(内在价值)+time value(时间价值)\n",
    "\n",
    "intrinsic value call option C=max[0,S-X]\n",
    "\n",
    "intrinsic value put option P=max[0,X-S]"
   ]
  },
  {
   "attachments": {
    "12.%E6%9C%9F%E6%9D%83%E5%88%86%E6%AE%B5%E5%87%BD%E6%95%B0%E5%9B%BE.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![12.%E6%9C%9F%E6%9D%83%E5%88%86%E6%AE%B5%E5%87%BD%E6%95%B0%E5%9B%BE.png](attachment:12.%E6%9C%9F%E6%9D%83%E5%88%86%E6%AE%B5%E5%87%BD%E6%95%B0%E5%9B%BE.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Option Price 1.Put call parity 2.二叉树 3.BSM"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们先来看看仅持有股票的情况"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.,   1.,   2.,   3.,   4.,   5.,   6.,   7.,   8.,   9.,  10.,\n",
       "        11.,  12.,  13.,  14.,  15.,  16.,  17.,  18.,  19.,  20.,  21.,\n",
       "        22.,  23.,  24.,  25.,  26.,  27.,  28.,  29.,  30.,  31.,  32.,\n",
       "        33.,  34.,  35.,  36.,  37.,  38.,  39.,  40.,  41.,  42.,  43.,\n",
       "        44.,  45.,  46.,  47.,  48.,  49.,  50.,  51.,  52.,  53.,  54.,\n",
       "        55.,  56.,  57.,  58.,  59.,  60.,  61.,  62.,  63.,  64.,  65.,\n",
       "        66.,  67.,  68.,  69.,  70.,  71.,  72.,  73.,  74.,  75.,  76.,\n",
       "        77.,  78.,  79.,  80.,  81.,  82.,  83.,  84.,  85.,  86.,  87.,\n",
       "        88.,  89.,  90.,  91.,  92.,  93.,  94.,  95.,  96.,  97.,  98.,\n",
       "        99., 100.])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x=np.linspace(0,100,101)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.,   1.,   2.,   3.,   4.,   5.,   6.,   7.,   8.,   9.,  10.,\n",
       "        11.,  12.,  13.,  14.,  15.,  16.,  17.,  18.,  19.,  20.,  21.,\n",
       "        22.,  23.,  24.,  25.,  26.,  27.,  28.,  29.,  30.,  31.,  32.,\n",
       "        33.,  34.,  35.,  36.,  37.,  38.,  39.,  40.,  41.,  42.,  43.,\n",
       "        44.,  45.,  46.,  47.,  48.,  49.,  50.,  51.,  52.,  53.,  54.,\n",
       "        55.,  56.,  57.,  58.,  59.,  60.,  61.,  62.,  63.,  64.,  65.,\n",
       "        66.,  67.,  68.,  69.,  70.,  71.,  72.,  73.,  74.,  75.,  76.,\n",
       "        77.,  78.,  79.,  80.,  81.,  82.,  83.,  84.,  85.,  86.,  87.,\n",
       "        88.,  89.,  90.,  91.,  92.,  93.,  94.,  95.,  96.,  97.,  98.,\n",
       "        99., 100.])"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y=x\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EqC518She9DvFKOhFxO1Fn0zi2YURrN0ZR+s6FXl1QCD1q5Zxdln5RkEvIm4rM9Py2YYDvPptFBaY3LcZQ9vXoVgx17qkW0EvIm5pT9wZQueHsXH/SW5pUJlX+hWeJmT5TUEvIm4lLSOTD3/ey1urdlHaozgzBrVkQHAtl35jpoJeRNxGxOFTjJsfxrYjp+nVrDov3tuMqmVd/53FCnoRcXkpaRn864ddvP/TXip6leS9IcH0blHD2WXdNAp6EXFpm/bHM3Z+GHvjzjKwtS/P39mECl6FuwlZflPQi4hLOpuazmsropiz/gA1y5dmzl/b0qVhFWeX5RQKehFxOT/tjOPZBeEcOZXMsA7+jLmjEd5FqAlZfnPfPRcRl5OQdI6Xlm5n/pZo6lXxZt6jHWhdp+g1IctvCnoRcQnLw2OYsDiChKQ0nry1Pk/eVr/INiHLbwp6ESnSYk+nMGHxNlZsO0rzWuX49K9taVazaDchy28KehEpkqy1fL05milLI0lJz2Rcr8aMvCWAEi7QhCy/KehFpMg5FJ/EswvD+XnXcdr6+zBtQAvqVnGdJmT5TUEvIkVGRqZlzrr9TP9uBwZ46Z5mDGnnek3I8puCXkSKhN2xiYydF8aWgwl0bViFV/q3oFaF0s4uq0hQ0ItIoZaWkckHP+3hndW78SpVnDfvb8m9rVy7CVl+U9CLSKEVcfgUY+aFsT3mNHcG1mBy32ZULlPK2WUVOXkKemPMP4BHAAuEAyOAGsBcwAfYAgy11p7LY50i4kZS0jJ4a9UuPvx5L5W8SzJzaGt6Nqvu7LKKrFwHvTGmFvAU0NRam2yM+Qp4AOgDvGmtnWuMeR94GHgvX6oVEZe3Ye8JQheEs+/4WR5oU5vxfZpQvrSHs8sq0vI6dFMCKG2MSQO8gBjgNuBBx88/BSahoBeRa0hMSePVFVF8tv4gtX1K8/kj7ehUv7Kzy3IJuQ56a+1hY8wM4CCQDKwENgMJ1tp0x2LRQK08VykiLu3HqFieWxhOzOkUHu4cwDM9G+JVUi8h5pe8DN1UBO4BAoAE4Gugdw6L2iusPwoYBeDn55fbMkSkCIs/e46Xlkay8I/DNKhahvmPdSTYr6Kzy3I5eXnI7AHss9bGARhjFgAdgQrGmBKOs3pf4EhOK1trZwIzAUJCQnJ8MBAR12StZVl4DBMXb+NUchpPd2/A47fWo1QJNSErCHkJ+oNAe2OMF1lDN92BTcCPwECyrrwZBizOa5Ei4jqOnU7h+UURfB95jEDf8nz2SDua1Cjn7LJcWl7G6DcYY+aRdQllOvAHWWfoy4C5xpgpjnmz8qNQESnarLV8ufEQLy/fzrn0TJ7r04QRnfzVhOwmyNOrHdbaicDES2bvBdrm5X5FxLUcPJFE6IIwfttzgnYBPrw6IBD/yt7OLstt6GVtESkwGZmW2b/uY8bKHZQoVowp9zbnwbZ+akJ2kynoRaRA7DyW1YTsz0MJdG9clSn9mlOjvJqQOYOCXkTy1bn0TN5bs4d//7iLsp4evP1AK/q2rKkmZE6koBeRfLP1UALj5ocRdTSRe1rVZMJdTamkJmROp6AXkTxLPpfBG9/vYNYv+6ha1pNZw0Lo3qSas8sSBwW9iOTJb3uOM35BOAdOJDG4rR/j+zSmnKeakBUmCnoRyZXTKWlMXR7FF78fxM/Hi/890o6OakJWKCnoReSGrd5+jOcWRhCbmMLIWwL45+2NKF1S7QsKKwW9iFy3E2dSmfxNJEu2HqFRtbK8P7Q1rWpXcHZZcg0KehG5JmstS7YeYfI3kSSmpPH3Hg14vFt9SpZQ+4KiQEEvIld19FQKzy8KZ9X2WFrWrsBrAwJpVL2ss8uSG6CgF5EcWWuZu/EQryzbTlpmJs/f2YQRnQIorvYFRY6CXkQus//4WUIXhLF+bzwd6lZi2oAW1KmkJmRFlYJeRLJlZFo+/mUfr3+/A49ixZjavwUPtKmt9gVFnIJeRADYcTSRsfO2sjX6FD2aVGPKvc2pXt7T2WVJPlDQi7i51PQM3v1xD++u2U05Tw/+NTiIuwJr6CzehSjoRdzYHwdPMm5+GDuPnaFfUC1euKspPt4lnV2W5DMFvYgbSjqXzusrd/Lxr/uoXs6Tj4eHcFtjNSFzVQp6ETfz2+7jhC4I52B8Eg+192Ncr8aUVRMyl6agF3ETp5LTmLp8O3M3HiKgsjdzR7Wnfd1Kzi5LbgIFvYgbWLntKM8viuD4mVRGd63LP3o0xNNDTcjchYJexIUdP5PKpCXbWBoWQ+PqZfloWAiBvmpC5m4U9CIuyFrLoj8PM/mbSJJSM3jm9oY82q0eHsXVhMwdKehFXMyRhGSeWxjOjzviCPLLakLWoJqakLkzBb2Ii8jMtHz++0Fe/TaKjEzLhLuaMqyjv5qQiYJexBXsjTtD6IJwft8XT+f6lZnavwW1fbycXZYUEgp6kSIsPSOTj37Zx5vf76RUiWK8NjCQQa191b5ALqKgFymiIo+cZuz8rUQcPk3PptV46d7mVCunJmRyOQW9SBGTmp7Bv3/YzXtr9lDBy4N3hwTTu3l1ncXLFSnoRYqQzQdOMnbeVvbEnWVAsC8v3NWECl5qQiZXp6AXKQLOpqYz/bsdfLpuPzXLl+aTEW3o1qiqs8uSIiJPQW+MqQB8BDQHLPBXYAfwJeAP7Afus9aezFOVIm7s511xjF8QTvTJZIZ1qMOYXo0pU0rnaHL98vo2ubeBFdbaxkBLYDsQCqy21jYAVjumReQGnUpKY8zXWxk663dKFi/G1492YPI9zRXycsNy/RdjjCkHdAGGA1hrzwHnjDH3AN0ci30KrAHG5aVIEXezIuIoLyyOIP7sOR7vVo+nujdQEzLJtbycGtQF4oDZxpiWwGbgaaCatTYGwFobY4zJcSDRGDMKGAXg5+eXhzJEXEdsYgqTlmxjefhRmtYox+zhbWheq7yzy5IiLi9BXwIIBv5mrd1gjHmbGximsdbOBGYChISE2DzUIVLkWWtZsOUwLy6NJDktgzF3NGJUl7pqQib5Ii9BHw1EW2s3OKbnkRX0x4wxNRxn8zWA2LwWKeLKok8m8ezCCNbujCOkTkWmDQikftUyzi5LXEiug95ae9QYc8gY08hauwPoDkQ6voYB0xy3i/OlUhEXk5lp+e/6A7y6IgqAyX2bMbR9HYqpCZnks7y+fP834HNjTElgLzCCrCt5vjLGPAwcBAblcRsiLmd37BlC54ex6cBJbmmQ1YTMt6KakEnByFPQW2v/BEJy+FH3vNyviKtKy8hk5tq9vL16F6U9ivP6oJb0D66l9gVSoHRBrshNEnH4FGPnhREZc5o+LaozuW9zqpQt5eyyxA0o6EUKWEpaBu+s3sUHa/fi412S9x8KplfzGs4uS9yIgl6kAG3cH8+4eWHsPX6WQa19ef7OppT38nB2WeJmFPQiBeBMajrTV0QxZ/0BalUozWcPt6Nzg8rOLkvclIJeJJ+t2RHLcwsjOHIqmWEd/BlzRyO81Z9GnEh/fSL5JCHpHC8ujWTBlsPUr1qGeY92pHWdis4uS0RBL5JX1lq+jTjKhMURJCSl8eSt9flb9/qUKqEmZFI4KOhF8iD2dAovLI7gu23HaFGrPHP+2o6mNcs5uyyRiyjoRXLBWsvXm6KZsiyS1PRMxvVqzMhbAiihJmRSCCnoRW7Qofgkxi8I55fdx2nr78O0AS2oW0VNyKTwUtCLXKeMTMunv+1n+nc7KGbgpXubM6Stn5qQSaGnoBe5DruOJTJufhhbDibQrVEVXunXgpoVSju7LJHroqAXuYq0jEzeX7OHf/2wG+9SxXnr/lbc06qmmpBJkaKgF7mC8OhTjJm3laijidwVWINJfZtRuYyakEnRo6AXuURKWgZvrtrJh2v3UrlMKWYObU3PZtWdXZZIrinoRS6wYe8JQheEs+/4WR5oU5vxfZpQvrSakEnRpqAXARJT0nhtxQ7+u/4AtX1K8/kj7ehUX03IxDUo6MXt/bgjlucWhBNzOoWHOwfwTM+GeJXUv4a4Dv01i9uKP3uOl5ZGsvCPwzSoWob5j3Uk2E9NyMT1KOjF7VhrWRYew8TF2ziVnMZT3RvwxK311IRMXJaCXtzKsdMpPL8ogu8jjxHoW57PHmlHkxpqQiauTUEvbsFay5cbD/Hy8u2cS8/k2T6N+WsnNSET96CgF5d34MRZxi8I57c9J2gX4MOrAwLxr+zt7LJEbhoFvbisjEzL7F/3MWPlDkoUK8Yr/VrwQJvaakImbkdBLy5p57FExswLY+uhBLo3rsqUfs2pUV5NyMQ9KejFpZxLz+S9NXv494+7KOvpwdsPtKJvSzUhE/emoBeXsfVQAmPnhbHjWCJ9W9Zk4t1NqaQmZCIKein6ks9l8Mb3O5j1yz6qlvXko7+E0KNpNWeXJVJoKOilSFu35wShC8I4cCKJB9v5Edq7MeU81YRM5EIKeimSTqekMe3bKP634SB1Knnxv5Ht6FhPTchEcpLnoDfGFAc2AYettXcZYwKAuYAPsAUYaq09l9ftiJy3KvIYzy+KIDYxhZG3BPDP2xtRuqTaF4hcSX68LfBpYPsF068Cb1prGwAngYfzYRsinDiTylNf/MEjczZRwcuDhY934rk7myrkRa4hT0FvjPEF7gQ+ckwb4DZgnmORT4F787INEWsti/88TI83fuLbiBj+0aMhS57sTMvaFZxdmkiRkNehm7eAsUBZx3QlIMFam+6YjgZq5XEb4sZiTiXz/MIIVkfF0rJ2BaYPDKRhtbLXXlFEsuU66I0xdwGx1trNxphu52fnsKi9wvqjgFEAfn5+uS1DXFRmpmXuxkNMXb6d9EzL83c2YUSnAIqrfYHIDcvLGX0noK8xpg/gCZQj6wy/gjGmhOOs3hc4ktPK1tqZwEyAkJCQHB8MxD3tP36W0AVhrN8bT6f6lZjaLxC/Sl7OLkukyMp10FtrxwPjARxn9P9nrR1ijPkaGEjWlTfDgMX5UKe4gfSMTD7+dR+vr9xJyRLFeHVAC+4Lqa32BSJ5VBDX0Y8D5hpjpgB/ALMKYBviYqKOnmbcvDC2Rp+iR5NqvNyvOdXKeTq7LBGXkC9Bb61dA6xxfL8XaJsf9yuuLzU9g//8uId3f9xN+dIe/GtwEHcF1tBZvEg+0jtjxWm2HDzJuHlh7Io9Q7+gWky4qykVvUs6uywRl6Ogl5su6Vw6M77byezf9lGjnCezh7fh1sZVnV2WiMtS0MtN9evu44QuCONQfDJD29dhbK9GlFUTMpECpaCXm+JUchqvLNvOl5sOEVDZmy9Htadd3UrOLkvELSjopcB9t+0oLyyK4MTZczzatR5/79EATw/1pxG5WRT0UmDiElOZtGQby8JjaFy9LLOGtaGFb3lnlyXidhT0ku+stSz84zAvLo0kKTWD/+vZkNFd6+FRPD+apYrIjVLQS746nJDMcwvDWbMjjmC/Crw2MJD6VdWETMSZFPSSLzIzLZ9vOMC0b6OwwKS7mzK0g7+akIkUAgp6ybO9cWcInR/O7/vjuaVBZV7p14LaPmpCJlJYKOgl19IzMvnw5328uWonniWKMX1gIANb+6p9gUgho6CXXIk8cpqx87cScfg0vZpV58V7mlFVTchECiUFvdyQlLQM/v3Dbt7/aQ8VvEry3pBgereo4eyyROQqFPRy3TYfiGfsvDD2xJ1lQLAvL9zVhApeakImUtgp6OWazqamM/27HXy6bj81y5fm07+2pWvDKs4uS0Suk4JermrtzjjGLwjnyKlk/tK+DmN6NaZMKf3ZiBQl+o+VHJ1KSmPKski+3hxN3SrefDW6A238fZxdlojkgoJeLrMiIoYXFm8j/uw5Hu9Wj6e6qwmZSFGmoJdssYkpTFy8jW8jjtKsZjk+GdGGZjXVhEykqFPQC9Za5m85zEtLI0lOy2Bsr0aMvKWumpCJuAgFvZuLPpnEswsjWLszjjb+FZk2IJB6Vco4uywRyUcKejeVmWmZs24/r323AwO8eE8zHmpXh2JqQibichT0bmh37BlC54ex6cBJujSswiv9muNbUU3IRFyVgt6NpGVkMnPtXt5etQuvUsV5fVBL+gfXUhMyERenoHcTEYdPMXZeGJExp+nTojoqtuskAAALc0lEQVST+zanStlSzi5LRG4CBb2LS0nL4J3Vu/hg7V58vEvy/kOt6dW8urPLEpGbSEHvwjbuj2fcvDD2Hj/LoNa+PH9nU8p7eTi7LBG5yRT0LuhMajqvrYhizroD+FYszX8fbsstDdSETMRdKehdzJodsTy3MIIjp5IZ3tGfMXc0wltNyETcmhLARSQknePFpZEs2HKYelW8mfdoB1rXURMyEVHQF3nWWr6NOMqExREkJKXxt9vq8+Rt9SlVQk3IRCRLroPeGFMbmANUBzKBmdbat40xPsCXgD+wH7jPWnsy76XKpWJPp/DC4gi+23aMFrXKM+ev7Whas5yzyxKRQiYvZ/TpwDPW2i3GmLLAZmPM98BwYLW1dpoxJhQIBcblvVQ5z1rL15ujmbI0ktT0TEJ7N+aRzgGUUBMyEclBroPeWhsDxDi+TzTGbAdqAfcA3RyLfQqsQUGfbw7FJzF+QTi/7D5OW38fpg1oQV01IRORq8iXMXpjjD8QBGwAqjkeBLDWxhhjql5hnVHAKAA/P7/8KMOlZWRaPv1tP9O/20ExAy/d04whakImItchz0FvjCkDzAf+bq09fb19U6y1M4GZACEhITavdbiyXccSGTc/jC0HE+jWqAov92tBrQqlnV2WiBQReQp6Y4wHWSH/ubV2gWP2MWNMDcfZfA0gNq9Fuqu0jEzeX7OHf/2wG69SxXnr/lbc06qmmpCJyA3Jy1U3BpgFbLfWvnHBj5YAw4BpjtvFearQTYVHn2LMvK1EHU3krsAaTOrbjMpl1IRMRG5cXs7oOwFDgXBjzJ+Oec+SFfBfGWMeBg4Cg/JWontJScvgze938uHPe6lSthQzh7amZzM1IROR3MvLVTe/AFcaQ+ie2/t1Z+v3niB0fhj7TyQxuG1tQns3oXxpNSETkbzRO2MLgcSUNKZ9G8XnGw5S26c0/3ukHR3rV3Z2WSLiIhT0TvZD1DGeWxjBsdMpPNI5gH/2bIhXSR0WEck/ShQniT97jhe/2caiP4/QsFoZ3h3SkSC/is4uS0RckIL+JrPW8k1YDJOWbON0chpPd2/AE7fWp2QJtS8QkYKhoL+Jjp5K4flFEazafoyWvuV5dWQ7GldXEzIRKVgK+pvAWsuXGw/x8rLtpGVm8lyfJvy1cwDF1b5ARG4CBX0BO3DiLKHzw1m39wTt6/owrX8g/pW9nV2WiLgRBX0Byci0zP51HzNW7sCjWDGm9m/B/SG11YRMRG46BX0B2HE0kbHzw9h6KIHujasypV9zapRXEzIRcQ4FfT46l57Ju2t2858fd1PW04N3Bgdxd2ANNSETEadS0OeTPw8lMG5eGDuOJXJPq5pMvLsZPt4lnV2WiIiCPq+Sz2Xwxvc7mPXLPqqW9WTWsBC6N6nm7LJERLIp6PPgtz3HCZ0fzsH4JB5s50do78aU81QTMhEpXBT0uXA6JY2py7fzxe+H8K/kxRcj29OhXiVnlyUikiMF/Q1aFXmM5xaFE5eYyqgudflHj4aULlnc2WWJiFyRgv46nTiTyqRvIvlm6xEaVy/Lh38JIdC3grPLEhG5JgX9NVhrWbL1CJOWbONMajr/vL0hj3atpyZkIlJkKOiv4khCMs8viuCHqFiC/Crw2oBAGlQr6+yyRERuiII+B5mZli82HmTq8igyMi0v3NWU4R391YRMRIokBf0l9h8/S+iCMNbvjadT/UpM7ReIXyUvZ5clIpJrCnqH9IxMPv51H6+v3EnJEsV4bUAgg0J81b5ARIo8BT0QdfQ0Y+eFERZ9itubVmPKvc2pVs7T2WWJiOQLtw761PQM/vPDbt5ds4cKXh7858Fg+rSorrN4EXEpbhv0Ww6eZNy8MHbFnqF/UC1euKspFdWETERckNsFfdK5dGZ8t5PZv+2jRjlPZo9ow62Nqjq7LBGRAuNWQf/LruOELggj+mQyQ9vXYWyvRpRVEzIRcXFuEfSnktN4eVkkX22KJqCyN1+Oak+7umpCJiLuweWD/rttR3lhUQQnzp7j0a71+HuPBnh6qAmZiLgPlw36uMRUJi3ZxrLwGBpXL8usYW1o4Vve2WWJiNx0Lhf01loW/nGYF5dGkpSawf/1bMjorvXwKK4mZCLingok6I0xvYC3geLAR9baaQWxnUsdTkjm2QXh/LQzjmC/Crw2MJD6VdWETETcW74HvTGmOPAf4HYgGthojFlirY3M722dl5lp+WzDAV79NgoLTLq7KUM7qAmZiAgUzBl9W2C3tXYvgDFmLnAPUCBBvyfuDKHzw9i4/yS3NKjMK/1aUNtHTchERM4riKCvBRy6YDoaaFcA2+GrjYd4fnEEniWKMX1gIANbqwmZiMilCiLoc0pae9lCxowCRgH4+fnlakMBVbzp3rgqk/s2o6qakImI5Kgggj4aqH3BtC9w5NKFrLUzgZkAISEhlz0QXI82/j608ffJzaoiIm6jIK453Ag0MMYEGGNKAg8ASwpgOyIich3y/YzeWptujHkS+I6syys/ttZuy+/tiIjI9SmQ6+ittcuB5QVx3yIicmP0dlERERenoBcRcXEKehERF6egFxFxcQp6EREXZ6zN1XuV8rcIY+KAA7lcvTJwPB/LKQq0z+5B++we8rLPday1Va61UKEI+rwwxmyy1oY4u46bSfvsHrTP7uFm7LOGbkREXJyCXkTExblC0M90dgFOoH12D9pn91Dg+1zkx+hFROTqXOGMXkRErqJIB70xppcxZocxZrcxJtTZ9RQEY0xtY8yPxpjtxphtxpinHfN9jDHfG2N2OW4rOrvW/GSMKW6M+cMYs9QxHWCM2eDY3y8dLbBdhjGmgjFmnjEmynGsO7jBMf6H4286whjzhTHG09WOszHmY2NMrDEm4oJ5OR5Xk+UdR56FGWOC86uOIhv0F3wIeW+gKTDYGNPUuVUViHTgGWttE6A98IRjP0OB1dbaBsBqx7QreRrYfsH0q8Cbjv09CTzslKoKztvACmttY6AlWfvussfYGFMLeAoIsdY2J6ul+QO43nH+BOh1ybwrHdfeQAPH1yjgvfwqosgGPRd8CLm19hxw/kPIXYq1NsZau8XxfSJZAVCLrH391LHYp8C9zqkw/xljfIE7gY8c0wa4DZjnWMTV9rcc0AWYBWCtPWetTcCFj7FDCaC0MaYE4AXE4GLH2Vq7Foi/ZPaVjus9wBybZT1QwRhTIz/qKMpBn9OHkNdyUi03hTHGHwgCNgDVrLUxkPVgAFR1XmX57i1gLJDpmK4EJFhr0x3Trnas6wJxwGzHcNVHxhhvXPgYW2sPAzOAg2QF/ClgM659nM+70nEtsEwrykF/XR9C7iqMMWWA+cDfrbWnnV1PQTHG3AXEWms3Xzg7h0Vd6ViXAIKB96y1QcBZXGiYJieOcel7gACgJuBN1tDFpVzpOF9Lgf2dF+Wgv64PIXcFxhgPskL+c2vtAsfsY+ef1jluY51VXz7rBPQ1xuwnazjuNrLO8Cs4nuKD6x3raCDaWrvBMT2PrOB31WMM0APYZ62Ns9amAQuAjrj2cT7vSse1wDKtKAe9W3wIuWN8ehaw3Vr7xgU/WgIMc3w/DFh8s2srCNba8dZaX2utP1nH9Adr7RDgR2CgYzGX2V8Aa+1R4JAxppFjVncgEhc9xg4HgfbGGC/H3/j5fXbZ43yBKx3XJcBfHFfftAdOnR/iyTNrbZH9AvoAO4E9wHPOrqeA9rEzWU/fwoA/HV99yBq3Xg3sctz6OLvWAtj3bsBSx/d1gd+B3cDXQCln15fP+9oK2OQ4zouAiq5+jIHJQBQQAfwXKOVqxxn4gqzXINLIOmN/+ErHlayhm/848iycrCuS8qUOvTNWRMTFFeWhGxERuQ4KehERF6egFxFxcQp6EREXp6AXEXFxCnoRERenoBcRcXEKehERF/f/ACPMN4tl0qbjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y,label=\"Underlying Stock Price and Value\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们再假设加上put option 执行价格为50元"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.,   1.,   2.,   3.,   4.,   5.,   6.,   7.,   8.,   9.,  10.,\n",
       "        11.,  12.,  13.,  14.,  15.,  16.,  17.,  18.,  19.,  20.,  21.,\n",
       "        22.,  23.,  24.,  25.,  26.,  27.,  28.,  29.,  30.,  31.,  32.,\n",
       "        33.,  34.,  35.,  36.,  37.,  38.,  39.,  40.,  41.,  42.,  43.,\n",
       "        44.,  45.,  46.,  47.,  48.,  49.,  50.,  51.,  52.,  53.,  54.,\n",
       "        55.,  56.,  57.,  58.,  59.,  60.,  61.,  62.,  63.,  64.,  65.,\n",
       "        66.,  67.,  68.,  69.,  70.,  71.,  72.,  73.,  74.,  75.,  76.,\n",
       "        77.,  78.,  79.,  80.,  81.,  82.,  83.,  84.,  85.,  86.,  87.,\n",
       "        88.,  89.,  90.,  91.,  92.,  93.,  94.,  95.,  96.,  97.,  98.,\n",
       "        99., 100.])"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "x_stock_price= np.linspace(0,100,101)\n",
    "x_stock_price"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.,   1.,   2.,   3.,   4.,   5.,   6.,   7.,   8.,   9.,  10.,\n",
       "        11.,  12.,  13.,  14.,  15.,  16.,  17.,  18.,  19.,  20.,  21.,\n",
       "        22.,  23.,  24.,  25.,  26.,  27.,  28.,  29.,  30.,  31.,  32.,\n",
       "        33.,  34.,  35.,  36.,  37.,  38.,  39.,  40.,  41.,  42.,  43.,\n",
       "        44.,  45.,  46.,  47.,  48.,  49.,  50.,  51.,  52.,  53.,  54.,\n",
       "        55.,  56.,  57.,  58.,  59.,  60.,  61.,  62.,  63.,  64.,  65.,\n",
       "        66.,  67.,  68.,  69.,  70.,  71.,  72.,  73.,  74.,  75.,  76.,\n",
       "        77.,  78.,  79.,  80.,  81.,  82.,  83.,  84.,  85.,  86.,  87.,\n",
       "        88.,  89.,  90.,  91.,  92.,  93.,  94.,  95.,  96.,  97.,  98.,\n",
       "        99., 100.])"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_stock_value=x_stock_price\n",
    "y_stock_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0]"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dummy_0 = [1 if (i <50) else 0 for i in x_stock_price]\n",
    "dummy_1 = [0 if (i>=50) else 0 for i in x_stock_price]\n",
    "dummy_1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "dummy_0 = [1 if (i <50) else 0 for i in x_stock_price]\n",
    "dummy_1 = [0 if (i>=50) else 0 for i in x_stock_price]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([50., 49., 48., 47., 46., 45., 44., 43., 42., 41., 40., 39., 38.,\n",
       "       37., 36., 35., 34., 33., 32., 31., 30., 29., 28., 27., 26., 25.,\n",
       "       24., 23., 22., 21., 20., 19., 18., 17., 16., 15., 14., 13., 12.,\n",
       "       11., 10.,  9.,  8.,  7.,  6.,  5.,  4.,  3.,  2.,  1.,  0.,  0.,\n",
       "        0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,\n",
       "        0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,\n",
       "        0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,\n",
       "        0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.])"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_option_value=(-x_stock_price+50)*dummy_0 + (x_stock_price)*dummy_1\n",
    "y_option_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x_stock_price,y_option_value)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,\n",
       "        50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,\n",
       "        50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,\n",
       "        50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,  50.,\n",
       "        50.,  50.,  50.,  50.,  50.,  50.,  50.,  51.,  52.,  53.,  54.,\n",
       "        55.,  56.,  57.,  58.,  59.,  60.,  61.,  62.,  63.,  64.,  65.,\n",
       "        66.,  67.,  68.,  69.,  70.,  71.,  72.,  73.,  74.,  75.,  76.,\n",
       "        77.,  78.,  79.,  80.,  81.,  82.,  83.,  84.,  85.,  86.,  87.,\n",
       "        88.,  89.,  90.,  91.,  92.,  93.,  94.,  95.,  96.,  97.,  98.,\n",
       "        99., 100.])"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_profolio_value=y_option_value+y_stock_value\n",
    "y_profolio_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x_stock_price,y_stock_value,\"r\",label=\"Owning the Stock\")\n",
    "plt.plot(x_stock_price,y_option_value,\"b\",label=\"Owning the Option\")\n",
    "plt.plot(x_stock_price,y_profolio_value,\"g\",label=\"Owning the Profolio\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
